Question

Is possible transform an analytic map into a monomial?

score 139 · Answer 1 · 2021-05-28 19:24:22

139

Views

Is possible transform an analytic map into a monomial?

Published on 28 May 2021 - 19:24

score 659 · Answer 2 · 2026-03-28 00:31:00

659

Views

Disproving the statement "If $f(z)$ is not an entire function, then $g(z) = f^2(z)$ is not entire.”

Published on 28 Mar 2026 - 0:31

score 231 · Answer 3 · 2021-05-31 00:53:33

I am looking for a function $g(z)$ that is analytic in a region, bounded throughout the complex plane that is not a constant function.

score 127 · Answer 4 · 2021-05-31 19:54:16

127

Views

To prove the map $z\mapsto (\wp(z),\wp'(z))$ is holomorphic map between Riemann surface

Published on 31 May 2021 - 19:54

score 58 · Answer 5 · 2021-05-31 22:28:04

Find a complex non-constant function bounded throughout the complex plane, that is analytic in a region (not everywhere), and defined everywhere

score 39 · Answer 6 · 2021-06-02 07:17:03

39

Views

Proof of analyticity of a function on an unit circle .

Published on 02 Jun 2021 - 7:17

score 169 · Answer 7 · 2026-02-25 23:42:38

169

Views

What an example of holomorphic function $f_n\to f$ s.t. $f$ is not holomorphic?

Published on 25 Feb 2026 - 23:42

score 103 · Answer 8 · 2026-03-28 04:44:05

103

Views

If the product is a monomial, then each function is a monomial?

Published on 28 Mar 2026 - 4:44

score 54 · Answer 9 · 2021-06-03 17:59:30

54

Views

$\sqrt{6z^2-5z+1}$ defining it by logarithm and finding where it is analytic.

Published on 03 Jun 2021 - 17:59

score 71 · Answer 10 · 2026-03-25 13:01:34

71

Views

Prove that every holomorphic function $f:\overline{\mathbb{C}} \rightarrow \overline{\mathbb{C}}$ is a polynomial

Published on 25 Mar 2026 - 13:01

score 64 · Answer 11 · 2021-06-06 00:52:32

64

Views

A holomorphic funtion on an open connected domain, with $f(z_0)=0$

Published on 06 Jun 2021 - 0:52

score 308 · Answer 12 · 2021-06-11 22:39:59

308

Views

Homomorphism and Holomorphic Functions

Published on 11 Jun 2021 - 22:39

score 138 · Answer 13 · 2026-03-29 06:32:09

138

Views

Prove existence of inverse of analytic function in some neighborhood

Published on 29 Mar 2026 - 6:32

score 366 · Answer 14 · 2021-06-13 09:33:33

366

Views

Prove that there exists a non-constant analytic function $f$ such that $|f(z)|\le1$ on at least 2/3 of the complex plane

Published on 13 Jun 2021 - 9:33

score 48 · Answer 15 · 2021-06-14 07:40:01

48

Views

Finding an entire $g(z)$ such that $e^{g(z)}=\frac{e^{2z}-1}{\sin(iz)}$.

Published on 14 Jun 2021 - 7:40

List Question

Is possible transform an analytic map into a monomial?

Disproving the statement "If $f(z)$ is not an entire function, then $g(z) = f^2(z)$ is not entire.”

I am looking for a function $g(z)$ that is analytic in a region, bounded throughout the complex plane that is not a constant function.

To prove the map $z\mapsto (\wp(z),\wp'(z))$ is holomorphic map between Riemann surface

Find a complex non-constant function bounded throughout the complex plane, that is analytic in a region (not everywhere), and defined everywhere

Proof of analyticity of a function on an unit circle .

What an example of holomorphic function $f_n\to f$ s.t. $f$ is not holomorphic?

If the product is a monomial, then each function is a monomial?

$\sqrt{6z^2-5z+1}$ defining it by logarithm and finding where it is analytic.

Prove that every holomorphic function $f:\overline{\mathbb{C}} \rightarrow \overline{\mathbb{C}}$ is a polynomial

A holomorphic funtion on an open connected domain, with $f(z_0)=0$

Homomorphism and Holomorphic Functions

Prove existence of inverse of analytic function in some neighborhood

Prove that there exists a non-constant analytic function $f$ such that $|f(z)|\le1$ on at least 2/3 of the complex plane

Finding an entire $g(z)$ such that $e^{g(z)}=\frac{e^{2z}-1}{\sin(iz)}$.

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